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\frac{7\pi }{18}+\frac{2\pi }{18}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 18 and 9 is 18. Multiply \frac{\pi }{9} times \frac{2}{2}.
\frac{7\pi +2\pi }{18}
Since \frac{7\pi }{18} and \frac{2\pi }{18} have the same denominator, add them by adding their numerators.
\frac{9\pi }{18}
Combine like terms in 7\pi +2\pi .
\frac{1}{2}\pi
Divide 9\pi by 18 to get \frac{1}{2}\pi .